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Finding the Third Proportional to 1,743,537 and 3,762,311

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Solution

The third proportional to 1,743,537 and 3,762,311 is: 8,118,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,537 : 3,762,311 = 3,762,311 : x
  2. Step 2: Convert to fraction form
    1,743,537/3,762,311 = 3,762,311/x
  3. Step 3: Cross multiply
    1,743,537x = 3,762,311 × 3,762,311
  4. Step 4: Simplify right side
    1,743,537x = 14,154,984,060,721
  5. Step 5: Solve for x
    x = 14,154,984,060,721/1,743,537
  6. Step 6: Final answer
    x = 8,118,545.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.